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Simplifying -1(4x + 5) = 5x + 40 Reorder the terms: -1(5 + 4x) = 5x + 40 (5 * -1 + 4x * -1) = 5x + 40 (-5 + -4x) = 5x + 40 Reorder the terms: -5 + -4x = 40 + 5x Solving -5 + -4x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -4x + -5x = 40 + 5x + -5x Combine like terms: -4x + -5x = -9x -5 + -9x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -9x = 40 + 0 -5 + -9x = 40 Add '5' to each side of the equation. -5 + 5 + -9x = 40 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 40 + 5 -9x = 40 + 5 Combine like terms: 40 + 5 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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